A KINETIC METHOD FOR COMPUTING INHOMOGENEOUS FLUID BEHAVIOR

The kinetic theory based gas-dynamical computational scheme, due to Pr endergast and Xu, is generalized to the case of inhomogeneous material s consisting of initially spatially separated materials of different d ensities and temperatures. The Bhatnagar-Grass-Krook model of the Bolt zmann equation is generalized to the case of two mass species. Cells i n a finite volume representation are updated by means of fluxes across boundaries with adjacent cells in such a way as to satisfy the local conservation laws but to include viscous and thermally conducting effe cts. Applications to several test problems are given for the two-dimen sional case. High Mach number shocks can be treated with the technique s developed. (C) 1997 Academic Press.